Final answer:
It is not possible to arrange the given numbers in a way that satisfies the condition.
Step-by-step explanation:
To arrange the given numbers 0, 1, 0.2, 0.3, 0.4, 0.5, and 0.6 so that the sum of the numbers on the vertical line is the same as the sum of the numbers in the horizontal line, we can simply set up the following equation:
0 + 0.2 + 0.4 = 1 + 0.3 + 0.5 + 0.6
This equation can be rearranged to:
0.6 = 1 + 0.3 + 0.5 - (0 + 0.2 + 0.4)
By evaluating the expression on the right-hand side, we find that:
0.6 = 1 + 0.3 + 0.5 - 0.6
0.6 = 0.9
Since the equation is not true, it is not possible to arrange the given numbers in a way that satisfies the condition.